Question

Frank earns $8 per hour. Madison

earns $7.50 per hour. Frank started working after Madison had already earned $300. If these rates continue, will Frank’s earnings ever equal Madison’s earnings? If so, when?

Answer 1

They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo

8n=7.50n+300

Sub in n for 600 and it should cancel everything out and work :)

if you want me to re-explain let me know.

Answer 2

yes, and at 600 hours they are equal and at 601 Frank passes her.

Explanation:

since frank has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.

First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.